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A First Course in Sobolev Spaces
This book is about differentiation of functions. It is divided into two parts, which can be used as different textbooks, one for an advanced undergraduate course in functions of one variable and one for a graduate course on Sobolev functions. The first part develops the theory of monotone, absolutely continuous, and bounded variation functions of one variable and their relationship with Lebesgue–Stieltjes measures and Sobolev functions. It also studies decreasing rearrangement and curves. The second edition includes a chapter on functions mapping time into Banach spaces. The second part of the book studies functions of several variables. It begins with an overview of classical results such...
Modern Methods in the Calculus of Variations
This is the first of two books on methods and techniques in the calculus of variations. Contemporary arguments are used throughout the text to streamline and present in a unified way classical results, and to provide novel contributions at the forefront of the theory. This book addresses fundamental questions related to lower semicontinuity and relaxation of functionals within the unconstrained setting, mainly in L^p spaces. It prepares the ground for the second volume where the variational treatment of functionals involving fields and their derivatives will be undertaken within the framework of Sobolev spaces. This book is self-contained. All the statements are fully justified and proved, w...
Italian Violin Music of the Seventeenth Century
"The emergence of pieces designated for specific instruments marked a significant change in musical practice. The celebrated musicologist Willi Apel discusses virtually all the surviving printed works from the seventeenth century that are intended for the violin. He describes the music of some sixty Italian composers of this period, detailing the individual innovative aspects of the pieces, their form, and issues of performance practice." --
The English Virtuoso
This study aims to overturn 20th-century criticism that cast the English virtuosi of the 17th and early 18th centuries as misguided dabblers, arguing that they were erudite individuals with solid grounding in the classics, deep appreciation for the arts and sincere curiosity about the natural world.
Architecture and Spectacle: A Critique
Focusing on six leading contemporary architects: Peter Eisenman, Frank Gehry, Bernard Tschumi, Zaha Hadid, Rem Koolhaas and Steven Holl, this book puts forward a unique and insightful analysis of "neo-avant-garde" architecture. It discusses the spectacle and excess which permeates contemporary architecture in reference to the present aesthetic tendency for image making, but does so by applying the tectonic of theatricality discussed by the 19th-century German architect Gottfried Semper. In doing so, it breaks new ground by opening up a dialogue between the study of the past and the design of the present. The work of each discussed architect is seen as addressing a historiographical problem. ...
The rose of Venice
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The Politics of Making
A unique collection of contemporary writings, this book explores the politics involved in the making and experiencing of architecture and cities from a cross-cultural and global perspective Taking a broad view of the word ‘politics’, the essays address a range of questions, including: What is the relationship between politics and the making of space? What role has theory played in reinforcing or resisting political power? What are the political difficulties associated with working relationships? Do the products of our making construct our identity or liberate us? A timely volume, focusing on an interdisciplinary debate on the politics of making, this is valuable reading for all students, professionals and academics interested or working in architectural theory.
